GCF of 5610/362, 6622/3138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5610/362, 6622/3138 i.e 22/567978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5610/362, 6622/3138.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5610/362,6622/3138?
Given fractions are 5610/362,6622/3138
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5610/362,6622/3138, numerators are 5610,6622
Denominators are 362,3138
The GCF of 5610,6622 is 22 .
LCM of 362,3138 is 567978.
The greatest common factor of 5610/362,6622/3138 = [GCF of 5610,6622]/[LCM of 362,3138]= 22/567978
Therefore, the GCF of 5610/362,6622/3138 is 22/567978.
To find the highest common factor of 5610,6622, we have to find the factors of both numbers and list the highest common factor.
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622
The HCF of 5610,6622 is 22.
Lets's calculate GCF of 5610,6622
| 2 | 5610, 6622 |
| 11 | 2805, 3311 |
| 255, 301 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 5610,6622 By Matching Biggest Common Factor Method
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Now, list down the factors of 6622
:1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622
Greatest Common Factor
We found the factors 5610,6622 . The biggest common factor number is the GCF number.
So the greatest common factor 5610,6622 is 22.
Lets's calculate LCM of 362,3138
| 2 | 362, 3138 |
| 181, 1569 |
∴ So the LCM of the given numbers is 2 x 181 x 1569 = 567978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/567978
Therefore, the GCF of Fractions 5610/362,6622/3138 is 22/567978
Least Common Multiple of 362,3138 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 362,3138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,3138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,3138) x common factors =2 x 1 = 2
LCM(362,3138) = ( 362 × 3138 ) / 2
LCM(362,3138) = 1135956 / 2
LCM(362,3138) = 567978
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FAQs on GCF of Fractions of 5610/362, 6622/3138
1. What is the HCF of 5610,6622?
The HCF of 5610,6622 is 22
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5610/362, 6622/3138?
Answer: GCF of Numerators as per given numbers 5610/362, 6622/3138 is
GCF of Numerators i.e. for 5610,6622 is 22
LCM of denominators i.e. for 362,3138 is 567978.
Thus, GCF of Fractions is 22/567978.Finally, GCF of Fractions for 5610/362, 6622/3138 is 22/567978.